3401903580625 has 135 divisors (see below), whose sum is σ = 4945487327319. Its totient is φ = 2337255360000.

The previous prime is 3401903580623. The next prime is 3401903580643. The reversal of 3401903580625 is 5260853091043.

The square root of 3401903580625 is 1844425.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 2868033699729 + 533869880896 = 1693527^2 + 730664^2 .

It is not a de Polignac number, because 3401903580625 - 2¹ = 3401903580623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3401903580623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9637120449 + ... + 9637120801.

Almost surely, 2^{3401903580625} is an apocalyptic number.

3401903580625 is the 1844425-th square number.

3401903580625 is the 922213-rd centered octagonal number.

It is an amenable number.

3401903580625 is a deficient number, since it is larger than the sum of its proper divisors (1543583746694).

3401903580625 is an frugal number, since it uses more digits than its factorization.

3401903580625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 3401903580625 in words is "three trillion, four hundred one billion, nine hundred three million, five hundred eighty thousand, six hundred twenty-five".